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305139528 = 233317233613
BaseRepresentation
bin10010001100000…
…000111101001000
3210021011200202000
4102030000331020
51111103431103
650140111000
710363433421
oct2214007510
9707150660
10305139528
11147274931
1286235460
134b2aa245
142c750648
151bbc6aa3
hex12300f48

305139528 has 128 divisors (see below), whose sum is σ = 936748800. Its totient is φ = 91542528.

The previous prime is 305139521. The next prime is 305139539. The reversal of 305139528 is 825931503.

305139528 is a `hidden beast` number, since 30 + 513 + 95 + 28 = 666.

It is a super-2 number, since 2×3051395282 = 186220263096125568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 305139492 and 305139501.

It is not an unprimeable number, because it can be changed into a prime (305139521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82650 + ... + 86262.

It is an arithmetic number, because the mean of its divisors is an integer number (7318350).

Almost surely, 2305139528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305139528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468374400).

305139528 is an abundant number, since it is smaller than the sum of its proper divisors (631609272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

305139528 is a wasteful number, since it uses less digits than its factorization.

305139528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3668 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 305139528 is about 17468.2434148371. The cubic root of 305139528 is about 673.2341796507.

The spelling of 305139528 in words is "three hundred five million, one hundred thirty-nine thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 27 34 36 46 51 54 68 69 72 92 102 108 136 138 153 184 204 207 216 276 306 391 408 414 459 552 612 621 782 828 918 1173 1224 1242 1564 1656 1836 2346 2484 3128 3519 3613 3672 4692 4968 7038 7226 9384 10557 10839 14076 14452 21114 21678 28152 28904 32517 42228 43356 61421 65034 83099 84456 86712 97551 122842 130068 166198 184263 195102 245684 249297 260136 332396 368526 390204 491368 498594 552789 664792 737052 747891 780408 997188 1105578 1412683 1474104 1495782 1658367 1994376 2211156 2243673 2825366 2991564 3316734 4238049 4422312 4487346 5650732 5983128 6633468 8476098 8974692 11301464 12714147 13266936 16952196 17949384 25428294 33904392 38142441 50856588 76284882 101713176 152569764 305139528